forces (p5) Flashcards
what is a scalar quantity, and give an example:
- scalar quantities only have a magnitude (size). they do not have a direction.
- mass, temperature, speed, distance, time, energy.
what is a vector quantity, and give an example:
- vector quantities have both a magnitude (size) and a direction.
- displacement, weight, force, velocity, acceleration, momentum.
how can you represent vectors using an arrow?
- the length of the arrow represents the magnitude of the vector
- the direction of the arrow represents the direction of the vector
what are contact forces, name an example:
- the two objects are physically touching
- e.g. friction. force of friction acting between water and aeroplane. causes aeroplane to slow and come to a stop
what are the 4 contact forces?
- friction
- air resistance
- tension
- reaction force/normal contact force (force that pushes touching objects apart).
what is a normal contact force?
- e.g. lamp on a table. lamp is exerting downward force on table (weight). table is exerting upward force on lamp (normal contact force).
- normal contact force can only happen if the two objects are in direct contact
what are non-contact forces, name some examples:
- two objects are physically separated
- e.g. gravitational force attracts all objects to other objects
- e.g. electrostatic force is the force between 2 charged objects (force of attraction/repulsion)
- e.g. magnetic force is the force experienced by certain objects in a magnetic field
what are the 4 non-contact forces?
- gravitational
- electrostatic
- magnetic
what is gravity?
the force of attraction between any two objects that have mass
describe magnetic and electrostatic forces:
can be attractive or repulsive
- electrostatic is between two charged objects
describe negative vector arrows:
- the length of the arrow shows the magnitude. the direction of the arrow shows the direction
- if you had an vector of 2km west, it could also be written as -2km east, as it’s backwards in the east direction
what is the equation for work done?
work done = force x distance
- the distance must be in the line of action of the force
what happens when you apply the brakes to a car?
a moving object has kinetic energy. during braking, the brake presses against the wheel, and a force of friction acts between the brake and the wheel. the kinetic energy store of the car is transferred to thermal energy store in the brakes. temperature of the brakes increases, speed of the car decreases (loses kinetic energy).
the greater the speed, the greater the braking force needed to stop the car in a certain distance.
- kinetic energy = 1/2 x mass x velocity ^2
- so doubling the velocity of the car, the kinetic energy quadruples. more kinetic energy needs to be converted, and this takes longer.
what is the potential risk of applying a large braking force?
transfers a lot of thermal energy to the brakes, causing them to overheat. the driver could lose control of the vehicle.
what is gravity?
force of attraction between all objects. non-contact force. vector quantity.
define ‘mass’:
- a measure of the amount of matter in an object.
- not determined by gravity, so stays the same wherever you are in the solar system.
- is not a force.
- kg
- scalar quantity
define ‘weight’:
- a measure of the force of gravity acting on an object.
- determined by the gravitational field strength (measure of the force of gravity in a particular location), so changes depending on where you are in the solar system.
- objects on the surface of the Earth experience a force of 9.8N/kg per every 1kg of their mass.
- is a force.
- N
what is the equation to calculate the weight of an object?
weight = mass x gravitational field strength
what is the relationship between weight and mass?
directly proportional. doubling the mass means the weight also doubles.
how do you determine an object’s weight?
use a calibrated spring balance (newtonmeter).
what happens to an object when you apply a force to it?
- compress
- stretch
- bend
- if you want it to stay still, you must apply more than one force
what is the relationship between force and extension?
directly proportional
- however, exactly how much the spring extends for a given force depends on the object’s spring constant
what is the spring constant?
tells us how many newtons it would take to stretch the object by 1m. the higher the spring constant, the stiffer the object, as it requires more force to stretch it.
define energy transfer and work done:
- whenever a force is used to move an object, energy is transferred. scientists call this work.
- work is simply a measure of energy transfer, so the unit of work is the joule. when a force of 1N moves an object by 1M, 1J of work has been done.
define ‘centre of mass’:
the weight of an object may be considered to act at a singular point.
- however, the centre of mass of an object may not necessarily be in its centre; this would only occur if the object is uniform in shape and density.
when you balance an object on one point, what determines when it topples over?
let’s say a square is balancing on one corner. as it’s uniform in shape and density, the centre of mass is in its centre.
- if you were to push the object, but its centre of mass doesn’t surpass the point of contact, it falls back.
- if you were to push the object, and its centre of mass surpasses the point of contact, it falls forward, as it is unbalanced.
define ‘elastic deformation’:
when objects deform elastically (stretching/compressing/bending), they still hold the ability to return to their original shape if we take away the forces acting on them.
- Hooke’s law (where force and extension are directly proportional) only works when an object behaves elastically.
how do you change an object’s length/shape?
apply more than one force. applying only one force to a stationary object means that the forces are no longer balanced, and the object would simply move.
define ‘plastic/inelastic deformation’:
when objects deform plastically, they can no longer quite return to their original shape. they have reached their limit of proportionality/elastic limit.
what is the equation to calculate the force needed to stretch an elastic object?
force = spring constant x extension/compression
what is the equation to calculate elastic potential energy, and what is it?
elastic potential energy = 1/2 x spring constant x extension squared
- elastic potential energy is the energy transferred to an object as it’s stretched
what can you take from a graph with force plotted against extension?
- the gradient is the spring constant (but only the straight part)
- the area under the line is the elastic potential energy
what is the relationship between work done and elastic potential energy?
they’re equal, as long as the object is not inelastically deformed.
what are the three variables for the Hooke’s law required practical?
- independent (x axis):
force applied - dependent (y axis):
extension of spring - control:
room temperature, diameter of spring, starting length of spring, spring material
describe the method for the Hooke’s law required practical:
- measure original length of the spring using a ruler.
- set up the equipment as shown in the diagram (you should be able to picture the set-up).
- attach a known weight (1N) to the spring. wait for the spring to stop moving.
- measure the new length of the spring.
- calculate the extension of the spring by subtracting the original length from the new length of the spring.
- repeat steps 2-4 with weights up to 5N.
- plot a scatter graph with the force on the x axis and the extension on the y-axis. the graph should show a directly-proportional relationship.
what is the biggest source of uncertainty in the Hooke’s law required practical?
- the biggest source of uncertainty is in the measurement of the spring, using the human eye. a parallax error (random error) could occur, so you must get to eye-level to obtain the most accurate reading.
what has occurred if the line of best fit on a Hooke’s law graph stops being straight?
this shows that the spring has reached its elastic limit. it has become plastically deformed, and has therefore skewed the results of the practical, as Hooke’s law only works when the object is elastically deformable.
what is Hooke’s law?
force is directly proportional to extension.
- as an equation, this is F = ke, where k is a constant.
- force (N), spring constant (N/m), extension (m).
describe the pressure in a column of fluid:
- take a column of water. the water at the bottom of the column would be under a much higher pressure than the water at the top. the mass of the particles pushing down on the water at the bottom of the container creates more pressure.
- the deeper the liquid, the greater the pressure.
describe the atmosphere:
- thin layer of air (nitrogen, oxygen, greenhouse gases) around the Earth.
- contains the ozone layer, which keeps out the most harmful radiation
- most dense at the surface of the Earth; greater number of air particles per given volume.
- gets less dense as you increase in altitude.
what is atmospheric pressure?
the total force of all the air particles constantly colliding with something from all sides
describe how atmospheric pressure changes with elevation:
- an object at sea level has more air particles surrounding it than an object 1000m in the air
- more air particles around an object means more collisions, therefore a greater force exerted on the object, therefore higher pressure
- an object at sea level is effectively at the bottom of the atmosphere, so will have a huge weight of lots of particles pressing down on it. weight is also a force, contributing to its pressure
- atmospheric pressure decreases as elevation increases
why must mountaineers carry oxygen cylinders with them when climbing a mountain?
the air is so thin with so few particles that there aren’t enough oxygen molecules to breathe in
what is a fluid?
a material that can flow. e.g. liquids, gases.
how do you calculate the pressure of a fluid?
pressure = force applied to a surface / area of that surface.
how do fluids (gases and liquids) interact with container walls?
- gas particles are widely spaced and move rapidly. they collide with the container walls, exerting right-angled forces, creating pressure
- liquid particles also exert forces at right-angles to the container walls and to the air particles at the surface, creating pressure
how come a particle colliding with a wall at a perfect right angle exerts the most pressure?
- its entire force is used to generate pressure on the container wall
- a particle that is hitting the container wall diagonally, only a small component of its force will be perpendicular to the container (split the force into vertical and horizontal components). a much smaller force is used to create pressure